120/(x-y)+120/(x+y)=160/y
3/(x-y)+3/(x+y)=4/y
6x/(x^2-y^2)=4/y
4x^2-4y^2=6xy
2^2-3xy-2y^2=0
(2x+y)(x-2y)=0
所以
x=2y或x=-1/2y